यदि (r(x)=x-3 -4x), तो (r(-2)) का मान क्या है?
If (r(x)=x-3 -4x), what is the value of (r(-2))?
#substitution
#cubic-polynomial
#zero
A (0)
B (2)
C (4)
D (-4)
Explanation opens after your attempt
Step 1
Concept
(r(-2)=(-2)3 -4(-2)=-8+8=0). Brackets are important for negative values.
Step 2
Why this answer is correct
The correct answer is A. (0). (r(-2)=(-2)3 -4(-2)=-8+8=0). Brackets are important for negative values.
Step 3
Exam Tip
(r(-2)=(-2)3 -4(-2)=-8+8=0) है। ऋणात्मक मानों में कोष्ठक लगाना जरूरी है।
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यदि (p(x)=3x-2 -2x+1), तो (p(2)-p(1)) का मान क्या है?
If (p(x)=3x-2 -2x+1), what is the value of (p(2)-p(1))?
#polynomial-value
#substitution
#difference
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
(p(2)=9) and (p(1)=3). Therefore (p(2)-p(1)=6).
Step 2
Why this answer is correct
The correct answer is B. (6). (p(2)=9) and (p(1)=3). Therefore (p(2)-p(1)=6).
Step 3
Exam Tip
(p(2)=9) और (p(1)=3) है। इसलिए (p(2)-p(1)=6) है।
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यदि (f(x)=x-2 +2x-8), तो निम्न में से कौन (f(x)) का शून्य है?
If (f(x)=x-2 +2x-8), which of the following is a zero of (f(x))?
#zero-of-polynomial
#substitution
#quadratic
A (4)
B (2)
C (1)
D (-1)
Explanation opens after your attempt
Step 1
Concept
(f(2)=4+4-8=0). Therefore (2) is a zero of this polynomial.
Step 2
Why this answer is correct
The correct answer is B. (2). (f(2)=4+4-8=0). Therefore (2) is a zero of this polynomial.
Step 3
Exam Tip
(f(2)=4+4-8=0) है। इसलिए (2) इस बहुपद का शून्य है।
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यदि (q(x)=x-2 -kx+6) और (q(2)=0), तो (k) का मान क्या है?
If (q(x)=x-2 -kx+6) and (q(2)=0), what is the value of (k)?
#zero-of-polynomial
#parameter
#substitution
A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
(q(2)=4-2k+6=0) gives (10-2k=0). So (k=5).
Step 2
Why this answer is correct
The correct answer is C. (5). (q(2)=4-2k+6=0) gives (10-2k=0). So (k=5).
Step 3
Exam Tip
(q(2)=4-2k+6=0) से (10-2k=0) मिलता है। इसलिए (k=5) है।
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यदि (h(x)=x-2 +2x), तो (h(-2)) का मान क्या है?
If (h(x)=x-2 +2x), what is the value of (h(-2))?
#polynomial-value
#substitution
#zero-of-polynomial
A (0)
B (2)
C (-2)
D (4)
Explanation opens after your attempt
Step 1
Concept
(h(-2)=(-2)2 +2(-2)=4-4=0). Use brackets and check signs when substituting a negative value.
Step 2
Why this answer is correct
The correct answer is A. (0). (h(-2)=(-2)2 +2(-2)=4-4=0). Use brackets and check signs when substituting a negative value.
Step 3
Exam Tip
(h(-2)=(-2)2 +2(-2)=4-4=0) है। ऋणात्मक मान रखते समय कोष्ठक और चिह्नों का ध्यान रखें।
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(p(x)=2x-3 -5x-2 +7x-4) में (p(0)+p(1)) का मान क्या है?
What is the value of (p(0)+p(1)) for (p(x)=2x-3 -5x-2 +7x-4)?
#evaluation
#substitution
#polynomial
A (0)
B (-1)
C (1)
D (4)
Explanation opens after your attempt
Step 1
Concept
(p(0)=-4) and (p(1)=2-5+7-4=0), so (p(0)+p(1)=-4). Always substitute each value separately before adding.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(0)=-4) and (p(1)=2-5+7-4=0), so (p(0)+p(1)=-4). Always substitute each value separately before adding.
Step 3
Exam Tip
(p(0)=-4) और (p(1)=2-5+7-4=0), इसलिए योग (-4+4=0) नहीं बल्कि (-4+0=-4)। सही गणना में (p(0)+p(1)=-4) होता है।
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यदि (g(x)=3x-2 -x), तो (g(1)) का मान क्या है?
If (g(x)=3x-2 -x), what is the value of (g(1))?
#polynomial-value
#substitution
#class10
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
(g(1)=3(1)2 -1=2). Substitute (1) for each (x) and simplify.
Step 2
Why this answer is correct
The correct answer is B. (2). (g(1)=3(1)2 -1=2). Substitute (1) for each (x) and simplify.
Step 3
Exam Tip
(g(1)=3(1)2 -1=2) है। प्रत्येक (x) की जगह (1) रखकर सरल करें।
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यदि (f(x)=x-2 +4x), तो (f(-4)) का मान क्या है?
If (f(x)=x-2 +4x), what is the value of (f(-4))?
#substitution
#zero-of-polynomial
#easy
A (0)
B (4)
C (-4)
D (16)
Explanation opens after your attempt
Step 1
Concept
(f(-4)=(-4)2 +4(-4)=16-16=0). Pay attention to signs while substituting negative values.
Step 2
Why this answer is correct
The correct answer is A. (0). (f(-4)=(-4)2 +4(-4)=16-16=0). Pay attention to signs while substituting negative values.
Step 3
Exam Tip
(f(-4)=(-4)2 +4(-4)=16-16=0) है। ऋणात्मक मान रखते समय चिह्नों पर ध्यान दें।
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बहुपद (p(x)=2x-2 +3) में (p(0)) का मान क्या है?
For the polynomial (p(x)=2x-2 +3), what is the value of (p(0))?
#polynomials
#substitution
#constant-term
A (0)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
(p(0)=2(0)2 +3=3). When (x=0), the constant term remains.
Step 2
Why this answer is correct
The correct answer is C. (3). (p(0)=2(0)2 +3=3). When (x=0), the constant term remains.
Step 3
Exam Tip
(p(0)=2(0)2 +3=3) है। (x=0) रखने पर नियत पद बचता है।
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यदि (p(x)=x-2 -9), तो (p(3)) का मान क्या है?
If (p(x)=x-2 -9), what is the value of (p(3))?
#zero of polynomial
#evaluation
#substitution
A (0)
B (3)
C (6)
D (9)
Explanation opens after your attempt
Step 1
Concept
(p(3)=32 -9=0). Such a value can also be called a zero of the polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(3)=32 -9=0). Such a value can also be called a zero of the polynomial.
Step 3
Exam Tip
(p(3)=32 -9=0)। ऐसे मान को बहुपद का शून्य भी कहा जा सकता है।
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(p(x)=3x-2 -2x+5) के लिए (p(2)) का मान क्या है?
For (p(x)=3x-2 -2x+5), what is the value of (p(2))?
#evaluation
#substitution
#polynomial
A (9)
B (11)
C (13)
D (15)
Explanation opens after your attempt
Step 1
Concept
(p(2)=3(2)2 -2(2)+5=13). Substitute the given number for (x) carefully.
Step 2
Why this answer is correct
The correct answer is C. (13). (p(2)=3(2)2 -2(2)+5=13). Substitute the given number for (x) carefully.
Step 3
Exam Tip
(p(2)=3(2)2 -2(2)+5=13)। मान निकालते समय (x) की जगह दी गई संख्या रखें।
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यदि (r(x)=4x-2 ), तो (r\left\(\frac{1}{2}\right\)) क्या है?
If (r(x)=4x-2 ), what is (r\left\(\frac{1}{2}\right\))?
#substitution
#fraction-value
A (1)
B (2)
C (4)
D \(\frac{1}{2}\)
Explanation opens after your attempt
Step 1
Concept
(r\left\(\frac{1}{2}\right\)=4\left\(\frac{1}{2}\right\)2 =1). Use brackets when substituting fractions.
Step 2
Why this answer is correct
The correct answer is A. (1). (r\left\(\frac{1}{2}\right\)=4\left\(\frac{1}{2}\right\)2 =1). Use brackets when substituting fractions.
Step 3
Exam Tip
(r\left\(\frac{1}{2}\right\)=4\left\(\frac{1}{2}\right\)2 =1) है। भिन्न रखते समय कोष्ठक का प्रयोग करें।
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\(3x^2+2x+1\) में (x=1) रखने पर कौन सा मान मिलेगा?
What value is obtained by putting (x=1) in \(3x^2+2x+1\)?
#substitution
#evaluation
A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
(3(1)2 +2(1)+1=6). After substitution, simplify the sum carefully.
Step 2
Why this answer is correct
The correct answer is D. (6). (3(1)2 +2(1)+1=6). After substitution, simplify the sum carefully.
Step 3
Exam Tip
(3(1)2 +2(1)+1=6) है। प्रतिस्थापन के बाद सरल जोड़ करें।
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(p(x)=x-2 +5) में (p(-2)) का मान क्या है?
For (p(x)=x-2 +5), what is (p(-2))?
#substitution
#quadratic
A (1)
B (7)
C (9)
D (25)
Explanation opens after your attempt
Step 1
Concept
(p(-2)=(-2)2 +5=9). The square of a negative value is positive.
Step 2
Why this answer is correct
The correct answer is C. (9). (p(-2)=(-2)2 +5=9). The square of a negative value is positive.
Step 3
Exam Tip
(p(-2)=(-2)2 +5=9) है। ऋणात्मक मान का वर्ग धनात्मक होता है।
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(p(x)=2x-2 -3x+4) में (p(-1)) का मान क्या है?
For (p(x)=2x-2 -3x+4), what is (p(-1))?
#substitution
#negative-value
A (3)
B (5)
C (7)
D (9)
Explanation opens after your attempt
Step 1
Concept
(p(-1)=2(-1)2 -3(-1)+4=9). Use brackets when squaring a negative number.
Step 2
Why this answer is correct
The correct answer is D. (9). (p(-1)=2(-1)2 -3(-1)+4=9). Use brackets when squaring a negative number.
Step 3
Exam Tip
(p(-1)=2(-1)2 -3(-1)+4=9) है। ऋणात्मक संख्या का वर्ग रखते समय कोष्ठक लगाएँ।
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यदि (q(x)=x-3 -x), तो (q(0)) का मान क्या है?
If (q(x)=x-3 -x), what is the value of (q(0))?
#substitution
#zero-value
A (-1)
B (0)
C (1)
D (3)
Explanation opens after your attempt
Step 1
Concept
(q(0)=03 -0=0). When substituting (0), check each term containing (x).
Step 2
Why this answer is correct
The correct answer is B. (0). (q(0)=03 -0=0). When substituting (0), check each term containing (x).
Step 3
Exam Tip
(q(0)=03 -0=0) है। (0) रखने पर हर (x) वाला पद सावधानी से देखें।
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बहुपद (p(x)=x-2 +2x+1) में (p(1)) का मान क्या है?
For (p(x)=x-2 +2x+1), what is the value of (p(1))?
#value-of-polynomial
#substitution
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
(p(1)=12 +2(1)+1=4). Substitute the given number for every (x).
Step 2
Why this answer is correct
The correct answer is C. (4). (p(1)=12 +2(1)+1=4). Substitute the given number for every (x).
Step 3
Exam Tip
(p(1)=12 +2(1)+1=4) होता है। मान निकालते समय हर (x) की जगह दी गई संख्या रखें।
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(p(x)=x-2 +3x+2) के लिए (p(1)) का मान क्या है?
For (p(x)=x-2 +3x+2), what is the value of (p(1))?
#polynomials
#one-variable
#value
#substitution
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
(p(1)=12 +3\cdot1+2=6). While evaluating, replace every (x) with the given number.
Step 2
Why this answer is correct
The correct answer is C. (6). (p(1)=12 +3\cdot1+2=6). While evaluating, replace every (x) with the given number.
Step 3
Exam Tip
(p(1)=12 +3\cdot1+2=6) है। मान निकालते समय हर (x) की जगह दी गई संख्या रखें।
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(p(x)=2x-2 -8) के लिए (p(2)) का मान क्या है?
For (p(x)=2x-2 -8), what is the value of (p(2))?
#polynomials
#value
#easy
#substitution
A (0)
B (2)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
(p(2)=2\cdot22 -8=8-8=0). Square first, then multiply.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(2)=2\cdot22 -8=8-8=0). Square first, then multiply.
Step 3
Exam Tip
(p(2)=2\cdot22 -8=8-8=0) है। पहले वर्ग करें फिर गुणा करें।
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\(x^2+1\) में (x=1) रखने पर क्या मान मिलेगा?
What value is obtained by putting (x=1) in \(x^2+1\)?
#polynomials
#value
#easy
#substitution
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
\(1^2+1=2\). Even for small values, calculate in the correct order.
Step 2
Why this answer is correct
The correct answer is C. (2). \(1^2+1=2\). Even for small values, calculate in the correct order.
Step 3
Exam Tip
\(1^2+1=2\) होता है। छोटे मानों पर भी सही क्रम से गणना करें।
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(p(x)=2x+3) में (p(2)) का मान क्या है?
If (p(x)=2x+3), what is the value of (p(2))?
#polynomials
#value
#easy
#substitution
A (5)
B (7)
C (9)
D (4)
Explanation opens after your attempt
Step 1
Concept
(p(2)=2\cdot2+3=7). Substitute the given number in place of (x).
Step 2
Why this answer is correct
The correct answer is B. (7). (p(2)=2\cdot2+3=7). Substitute the given number in place of (x).
Step 3
Exam Tip
(p(2)=2\cdot2+3=7) होता है। मान निकालते समय (x) की जगह दी गई संख्या रखें।
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यदि \(x^{5}=3\), तो \(x^{15}+x^{10}\) का मान क्या है?
If \(x^{5}=3\), what is the value of \(x^{15}+x^{10}\)?
#powers
#substitution
#polynomials
A (27)
B (36)
C (30)
D (18)
Explanation opens after your attempt
Step 1
Concept
Here (x^{15}=\(x^{5}\)^{3}=27) and (x^{10}=\(x^{5}\)^{2}=9). Therefore, the sum is (36).
Step 2
Why this answer is correct
The correct answer is B. (36). Here (x^{15}=\(x^{5}\)^{3}=27) and (x^{10}=\(x^{5}\)^{2}=9). Therefore, the sum is (36).
Step 3
Exam Tip
(x^{15}=\(x^{5}\)^{3}=27) और (x^{10}=\(x^{5}\)^{2}=9)। इसलिए योग (36) है।
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यदि \(x^{4}=5\), तो \(x^{12}-x^{8}\) का मान क्या है?
If \(x^{4}=5\), what is the value of \(x^{12}-x^{8}\)?
#powers
#substitution
#polynomials
A (50)
B (75)
C (100)
D (125)
Explanation opens after your attempt
Step 1
Concept
Here (x^{12}=\(x^{4}\)^{3}=125) and (x^{8}=\(x^{4}\)^{2}=25). Therefore, the difference is (100).
Step 2
Why this answer is correct
The correct answer is C. (100). Here (x^{12}=\(x^{4}\)^{3}=125) and (x^{8}=\(x^{4}\)^{2}=25). Therefore, the difference is (100).
Step 3
Exam Tip
(x^{12}=\(x^{4}\)^{3}=125) और (x^{8}=\(x^{4}\)^{2}=25)। इसलिए अंतर (100) है।
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यदि \(x^{3}=2\), तो \(x^{9}+x^{6}\) का मान क्या है?
If \(x^{3}=2\), what is the value of \(x^{9}+x^{6}\)?
#powers
#substitution
#polynomials
A (12)
B (10)
C (8)
D (6)
Explanation opens after your attempt
Step 1
Concept
Here (x^{9}=\(x^{3}\)^{3}=8) and (x^{6}=\(x^{3}\)^{2}=4), so the sum is (12). In exams, express powers as multiples of the given power.
Step 2
Why this answer is correct
The correct answer is A. (12). Here (x^{9}=\(x^{3}\)^{3}=8) and (x^{6}=\(x^{3}\)^{2}=4), so the sum is (12). In exams, express powers as multiples of the given power.
Step 3
Exam Tip
(x^{9}=\(x^{3}\)^{3}=8) और (x^{6}=\(x^{3}\)^{2}=4), इसलिए योग (12) है। परीक्षा में दी हुई घात के गुणजों में अभिव्यक्ति लिखें।
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यदि \(x^{2}=3\), तो \(x^{6}-x^{4}\) का मान क्या है?
If \(x^{2}=3\), what is the value of \(x^{6}-x^{4}\)?
#powers
#polynomials
#substitution
A (18)
B (9)
C (6)
D (27)
Explanation opens after your attempt
Step 1
Concept
Here (x^{6}=\(x^{2}\)^{3}=27) and (x^{4}=\(x^{2}\)^{2}=9), so the difference is (18). In exams, express powers using the given \(x^{2}\).
Step 2
Why this answer is correct
The correct answer is A. (18). Here (x^{6}=\(x^{2}\)^{3}=27) and (x^{4}=\(x^{2}\)^{2}=9), so the difference is (18). In exams, express powers using the given \(x^{2}\).
Step 3
Exam Tip
(x^{6}=\(x^{2}\)^{3}=27) और (x^{4}=\(x^{2}\)^{2}=9), इसलिए अंतर (18) है। परीक्षा में दी हुई घात \(x^{2}\) के रूप में लिखें।
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बहुपद (P(x)=2x-3 -5x-2 +x-7) में (x=-1) रखने पर (P(-1)) का मान क्या है?
For the polynomial (P(x)=2x-3 -5x-2 +x-7), what is the value of (P(-1))?
#polynomials
#evaluation
#substitution
#integer-powers
A (,-15,)
B (,-5,)
C (,15,)
D (,-1,)
Explanation opens after your attempt
Correct Answer
A. (,-15,)
Step 1
Concept
(P(-1)=2(-1)3 -5(-1)2 +(-1)-7=-15). In exams, always use brackets while substituting a negative value.
Step 2
Why this answer is correct
The correct answer is A. (,-15,). (P(-1)=2(-1)3 -5(-1)2 +(-1)-7=-15). In exams, always use brackets while substituting a negative value.
Step 3
Exam Tip
(P(-1)=2(-1)3 -5(-1)2 +(-1)-7=-15)। परीक्षा में ऋणात्मक मान रखते समय brackets जरूर लगाएं।
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यदि (a=2) और (b=-3), तो \(a^2b-ab^2\) का मान क्या होगा?
If (a=2) and (b=-3), what is the value of \(a^2b-ab^2\)?
#polynomials
#evaluation
#real-numbers
#substitution
A (,-30,)
B (,6,)
C (,-6,)
D (,30,)
Explanation opens after your attempt
Correct Answer
A. (,-30,)
Step 1
Concept
(a-2 b-ab-2 =4(-3)-2(9)=-12-18=-30). In exams, the square of a negative number is always positive.
Step 2
Why this answer is correct
The correct answer is A. (,-30,). (a-2 b-ab-2 =4(-3)-2(9)=-12-18=-30). In exams, the square of a negative number is always positive.
Step 3
Exam Tip
(a-2 b-ab-2 =4(-3)-2(9)=-12-18=-30)। परीक्षा में ऋणात्मक संख्या का वर्ग हमेशा धनात्मक होता है।
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बहुपद (P(x)=x-3 -4x+1) में (x=2) रखने पर (P(2)) का मान क्या है?
For the polynomial (P(x)=x-3 -4x+1), what is the value of (P(2))?
#polynomials
#evaluation
#real-numbers
#substitution
A (,1,)
B (,0,)
C (,2,)
D (,-1,)
Explanation opens after your attempt
Step 1
Concept
(P(2)=23 -4(2)+1=8-8+1=1). In exams, use brackets while substituting values.
Step 2
Why this answer is correct
The correct answer is A. (,1,). (P(2)=23 -4(2)+1=8-8+1=1). In exams, use brackets while substituting values.
Step 3
Exam Tip
(P(2)=23 -4(2)+1=8-8+1=1)। परीक्षा में substitution करते समय bracket का उपयोग करें।
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यदि (x=4) है तो \(x^3-3x^2+2x\) का मान क्या है?
If (x=4), what is the value of \(x^3-3x^2+2x\)?
#polynomials
#value of expression
#substitution
A (20)
B (22)
C (24)
D (26)
Explanation opens after your attempt
Step 1
Concept
Substituting gives (64-3(16)+8=64-48+8=24). Calculating powers first is the correct order.
Step 2
Why this answer is correct
The correct answer is C. (24). Substituting gives (64-3(16)+8=64-48+8=24). Calculating powers first is the correct order.
Step 3
Exam Tip
मान रखने पर (64-3(16)+8=64-48+8=24)। पहले घात निकालना सही क्रम है।
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यदि (a=2) और (b=5) है तो \(a^2b+ab^2\) का मान क्या है?
If (a=2) and (b=5), what is the value of \(a^2b+ab^2\)?
#polynomials
#factorization
#substitution
A (60)
B (70)
C (80)
D (90)
Explanation opens after your attempt
Step 1
Concept
(a-2 b+ab-2 =ab(a+b)). Thus \(2\cdot5\cdot7=70\).
Step 2
Why this answer is correct
The correct answer is B. (70). (a-2 b+ab-2 =ab(a+b)). Thus \(2\cdot5\cdot7=70\).
Step 3
Exam Tip
(a-2 b+ab-2 =ab(a+b)) है। इसलिए \(2\cdot5\cdot7=70\) है।
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